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arXiv · 1204.0669

Variational principle for gravity in the extended phase space

Pankaj Sharan
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Abstract

Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one hand and to a 3-form (related to the Einstein tensor) on the other. Gravitational dynamics is restricted to torsion zero surface in the extended phase space for Einstein-Hilbert action.

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Pankaj Sharan. 2012-04-03. Variational principle for gravity in the extended phase space. https://arxiv.org/abs/1204.0669

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